Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)
Question 37698This question is from textbook
: can someone please check my answers to: factor the sums or differences of two cubes
m^3-n^3
MY ANSWER m^3-n^3=(m-n)(m^3+mn+n^3)
c^3+f^3
MY ANSWER c^3+f^3=(c+f)(c^3-cf-f^3)This question is from textbook
Click here to see answer by Alwayscheerful(414)   |
Question 37774: 2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 121 cubic centimeters.
a) Write h as a function of r.
Answer:
b)
Show work in this space.
c) What is the measurement of the height if the radius of the cylinder is 3 centimeters?
Answer:
Show work in this space.
d) Graph this function.
Show graph here.
Click here to see answer by stanbon(26259) |
Question 37864: One person can do a job in 8 hours. A second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together?
write an algerair solution. let x= length of time first person works and x+2= length of time second works
Click here to see answer by fractalier(1804)  |
Question 37921: Please help I am stuck on this problem :(
3) The formula for calculating the amount of money returned for deposit money into a bank account or CD (Certificate of Deposit) is given by the following:
A=P (1 + r/n)^(nt)
A is the amount of returned
P is the principal amount deposited
r is the annual interest rate (expressed as a decimal)
n is the compound period
t is the number of years
Suppose you deposit $20,000 for 3 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1).
Answer:
Show work in this space. Use ^ to indicate the power.
b) Calculate the return (A) if the bank compounds quarterly (n = 4), and carry all calculations to 7 significant figures.
Answer:
Show work in this space .
c) Calculate the return (A) if the bank compounds monthly (n = 12), and carry all calculations to 7 significant figures.
Answer:
Show work in this space.
d) Calculate the return (A) if the bank compounds daily (n = 365), and carry all calculations to 7 significant figures.
Answer:
Show work in this space.
e) What observation can you make about the increase in your return as your compounding increases more frequently?
Answer:
f) If a bank compounds continuous, then the formula becomes simpler, that is
where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding.
Answer:
Show work in this space
g) Now suppose, instead of knowing t, we know that the bank returned to us $25,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t).
Answer:
Show work in this space
h) A commonly asked question is, “How long will it take to double my money?” At 8% interest rate and continuous compounding, what is the answer?
Answer: Show work in this space
Click here to see answer by stanbon(26259) |
Question 38023: the polynomial function f(x)=x^3+x^2-5x-6 has a zero at x=-2.that implies that x+2 must be a factor of the polynomial. find the other factors by either polynomial long division, or synthetic division...i really dont mind which process you choose, i just need help grasping these concepts. id say im more familiar with polynomial long division. this is part of a take home extra credit assignment i was given, so i dont have any book info, thank you so much!
Click here to see answer by stanbon(26259) |
Question 38041: Hello (40-something-old, returning to school -- very rusty, and a little embarrassed!)
My problem:
Factor 3x^6-192.
Here's my approach....
Step 1: Factor out 3:
3(x^6-64)
Step 2: Factor the "difference between two squares":
3(x^6-64) = 3(x^3-8)(x^3+8) Correct?
However, here's where I got stuck, so I decided to look at the answer key, and found this as the next step:
3(x^3-8)(x^3-8)(x^3+8)
Um, where did the "extra" (x^3-8) come from? Did I miss something really obvious here?...probably! I can't seem to think beyond this step, either. If you could remind me of the rule(s) involved, too, that's very helpful.
Thanks for your help!
Signed,
"Never-too-old to learn...I think"
Click here to see answer by fractalier(1804) |
Question 38041: Hello (40-something-old, returning to school -- very rusty, and a little embarrassed!)
My problem:
Factor 3x^6-192.
Here's my approach....
Step 1: Factor out 3:
3(x^6-64)
Step 2: Factor the "difference between two squares":
3(x^6-64) = 3(x^3-8)(x^3+8) Correct?
However, here's where I got stuck, so I decided to look at the answer key, and found this as the next step:
3(x^3-8)(x^3-8)(x^3+8)
Um, where did the "extra" (x^3-8) come from? Did I miss something really obvious here?...probably! I can't seem to think beyond this step, either. If you could remind me of the rule(s) involved, too, that's very helpful.
Thanks for your help!
Signed,
"Never-too-old to learn...I think"
Click here to see answer by askmemath(368) |
Question 38119: I have a problem that is hard to write but here it goes.
Write the following expression as the product of a monomial and a polynomial
9x cubed - 6x^ - 15x
I don't know how to type the third power after the x
Click here to see answer by ilana(236) |
Question 38196: Simplify:
(x^5 + y^5)/(x + y)
After spending much time beating on this problem as a long division with my 8th grader it dawned on me that perhaps the equation is already simplified. An online equation calculator seems to confirm that fact.
My question: is there an easy check or a simple trick that would quickly confirm that this equation (or a similar equation) is already in its simplest form?
Thanks,
Robert
Click here to see answer by stanbon(26259) |
Question 38196: Simplify:
(x^5 + y^5)/(x + y)
After spending much time beating on this problem as a long division with my 8th grader it dawned on me that perhaps the equation is already simplified. An online equation calculator seems to confirm that fact.
My question: is there an easy check or a simple trick that would quickly confirm that this equation (or a similar equation) is already in its simplest form?
Thanks,
Robert
Click here to see answer by askmemath(368) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850
|
